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Finding the Fourth Proportional to 4,198.72, 6,297.60 and 1,601.60

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Solution

The fourth proportional to 4,198.72, 6,297.60 and 1,601.60 is: 2,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.72 : 6,297.60 = 1,601.60 : x
  2. Step 2: Convert to fraction form
    4,198.72/6,297.60 = 1,601.60/x
  3. Step 3: Cross multiply
    4,198.72x = 6,297.60 × 1,601.60
  4. Step 4: Simplify right side
    4,198.72x = 10,086,236.16
  5. Step 5: Solve for x
    x = 10,086,236.16/4,198.72
  6. Step 6: Final answer
    x = 2,402.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.